An efficient fourth-order structure-preserving scheme for the nonlocal Klein-Gordon-Schrödinger system

Cites Work

Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
Partitioned averaged vector field methods
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation
Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation
Symplectic scheme for the Schrödinger equation with fractional Laplacian
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation
Symplectic Geometric Algorithms for Hamiltonian Systems
Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
A Sixth Order Averaged Vector Field Method
Geometric Numerical Integration
Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation
A class of arbitrarily high-order energy-preserving method for nonlinear Klein-Gordon-Schrödinger equations

This page was built for publication: An efficient fourth-order structure-preserving scheme for the nonlocal Klein-Gordon-Schrödinger system

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6553604)